# $\mathcal{I}$/$c$-Extremization in M/F-Duality

### Submission summary

 As Contributors: Sebastjan Cizel Preprint link: scipost_202008_00007v1 Date accepted: 2020-08-25 Date submitted: 2020-08-14 14:02 Submitted by: Cizel, Sebastjan Submitted to: SciPost Physics Discipline: Physics Subject area: High-Energy Physics - Theory Approach: Theoretical

### Abstract

We study the holographic dual to $c$-extremization for 2d $(0,2)$ superconformal field theories (SCFTs) that have an AdS$_3$ dual realized in Type IIB with varying axio-dilaton, i.e. F-theory. M/F-duality implies that such AdS$_3$ solutions can be mapped to AdS$_2$ solutions in M-theory, which are holographically dual to superconformal quantum mechanics (SCQM), obtained by dimensional reduction of the 2d SCFTs. We analyze the corresponding map between holographic $c$-extremization in F-theory and $\mathcal{I}$-extremization in M-theory, where in general the latter receives corrections relative to the F-theory result.

Published as SciPost Phys. 9, 029 (2020)

### List of changes

Added footnote 7 on page 23 addressing the potential interpretation of $N_0$ as a momentum.